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# Solving area of triangles with trig ratios. i need help!

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1.what is the area of this triangle, enter your answer as a decimal

2.what is the area of this triangle? round only your final answer to the nearest tenth.

3.

A triangular lawn has sides that are 8 m and 12 m long with an included angle of 51°.

What is the area of this lawn?

4.what is the area of this triangle, round only your final answer to the nearest hundredth.

Guest May 8, 2017
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Area of triangle  1  =

(1/2) (8)(14.2) sin (99°)   ≈  56.1 in^2

Area of triangle 2   =

(1/2) (12) (14)sin(20°)  ≈  28.7  ft^2

Area of triangular lawn =

(1/2) ( 8) (12) sin (51°)  ≈ 37.3 m^2

Area of last triangle =

(1/2) (3.2) (4.7) sin ( 62°)  ≈  6.64  ft^2

CPhill  May 8, 2017

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